What is the value of 3+2sin((-pi)/2) ?

The value of 3+2sin((-pi)/2) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3+2sin((-pi)/2)

3 + 2 sin (\frac{- π}{2})

1

Solution steps

3 + 2 sin (\frac{- π}{2})

Rewrite using trig identities:

sin (\frac{- π}{2}) = - 1

sin (\frac{- π}{2})

Simplify

= sin (- \frac{π}{2})

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{π}{2}) = - sin (\frac{π}{2})

= - sin (\frac{π}{2})

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= - 1

= 3 + 2 (- 1)

Simplify

= 1

75 cos (4 5^{\circ})

\frac{cos ( 0 ) + 1}{0}

sec^{2} (1) - 4

cos (0.7391)

sin (3^{2})